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Finding the Fourth Proportional to 723.50, 1,083.23 and 393.26

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Solution

The fourth proportional to 723.50, 1,083.23 and 393.26 is: 588.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.50 : 1,083.23 = 393.26 : x
  2. Step 2: Convert to fraction form
    723.50/1,083.23 = 393.26/x
  3. Step 3: Cross multiply
    723.50x = 1,083.23 × 393.26
  4. Step 4: Simplify right side
    723.50x = 425,983.65
  5. Step 5: Solve for x
    x = 425,983.65/723.50
  6. Step 6: Final answer
    x = 588.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.